Accessing finite-momentum excitations of the one-dimensional Bose-Hubbard model using superlattice-modulation spectroscopy

Karla Loida 1 Jean-Sébastien Bernier 1 Roberta Citro 2 Edmond Orignac 3 Corinna Kollath 1
1 HISKP - Helmholtz-Institut für Strahlen- und Kernphysik
2 Dipartamento di Fisica "E. R. Caianiello"
3 Équipe 4: Physique Théorique
Phys-ENS - Laboratoire de Physique de l'ENS Lyon
Abstract : We investigate the response to superlattice modulation of a bosonic quantum gas confined to arrays of tubes emulating the one-dimensional Bose-Hubbard model. We demonstrate, using both time-dependent density-matrix renormalization-group and linear response theory, that such a superlattice modulation gives access to the excitation spectrum of the Bose-Hubbard model at finite momenta. Deep in the Mott insulator, the response is characterized by a narrow energy-absorption peak at a frequency approximately corresponding to the on-site interaction strength between bosons. This spectroscopic technique thus allows for an accurate measurement of the effective value of the interaction strength. On the superfluid side, we show that the response depends on the lattice filling. The system can either respond at infinitely small values of the modulation frequency or only above a frequency threshold. We discuss our numerical findings in light of analytical results obtained for the Lieb-Liniger model. In particular, for this continuum model, bosonization predicts power-law onsets for both responses.
Keywords : Bose-Hubbard model Bosonization DMRG
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Journal articles
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01878173
Contributor : Edmond Orignac <>
Submitted on : Thursday, September 20, 2018 - 5:35:56 PM
Last modification on : Thursday, February 7, 2019 - 2:54:55 PM

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Karla Loida, Jean-Sébastien Bernier, Roberta Citro, Edmond Orignac, Corinna Kollath. Accessing finite-momentum excitations of the one-dimensional Bose-Hubbard model using superlattice-modulation spectroscopy. Physical Review A, American Physical Society, 2018, 98 (3), ⟨033605⟩. ⟨10.1103/PhysRevA.98.033605⟩. ⟨ensl-01878173⟩

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